Question

LCD TVS The sales $S$ (in millions of dollars) of LCD televisions in the United States from 2001 through 2007 are shown in the table. The time (in years) is given by $t$, with $t=1$ corresponding to 2001. (Source:Consumer Electronics Association) (a) Does $S^{-1}$ exist? (b) If $S^{-1}$ exists, what does it represent in the context of the problem? (c) If $S^{-1}$ exists, find $S^{-1}(8430)$. (d) If the table was extended to 2009 and if the sales of LCD televisions for that year was $\$14,532$ million, would $S^{-1}$ exist? Explain.

Name: Problem 99, Chapter 1: Precalculus with Limits
Uploaded: 2020-06-08T02:58:38-08:00
Duration: 2 min 2 s
Channel: Heather Zimmers

   LCD TVS      The sales $S$ (in millions of dollars) of LCD televisions in the United States from 2001 through 2007 are shown in the table. The time (in years) is given by $t$, with $t=1$ corresponding to 2001.   (Source:Consumer Electronics Association)

(a)  Does $S^{-1}$ exist?
(b)  If $S^{-1}$ exists, what does it represent in the context of the problem?
(c)  If $S^{-1}$ exists, find $S^{-1}(8430)$.
(d)  If the table was extended to 2009 and if the sales of LCD televisions for that year was $\$14,532$ million, would $S^{-1}$ exist? Explain.

Precalculus with Limits

Ron Larson 2nd Edition

Chapter 1, Problem 99

Instant Answer

Solved by Expert Heather Zimmers

06/08/2020

Step 1

A function is one-to-one if every input has a unique output and every output has a unique input. Looking at the table, we can see that there are no repeated $t$ values and no repeated $S$ values. Therefore, the function $S$ is one-to-one. Show more…

Show all steps

Thanks for your feedback!

LCD TVS The sales $S$ (in millions of dollars) of LCD televisions in the United States from 2001 through 2007 are shown in the table. The time (in years) is given by $t$, with $t=1$ corresponding to 2001. (Source:Consumer Electronics Association) (a) Does $S^{-1}$ exist? (b) If $S^{-1}$ exists, what does it represent in the context of the problem? (c) If $S^{-1}$ exists, find $S^{-1}(8430)$. (d) If the table was extended to 2009 and if the sales of LCD televisions for that year was $\$14,532$ million, would $S^{-1}$ exist? Explain.